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B. Counting Rhombi

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou have two positive integers *w* and *h*. Your task is to count the number of rhombi which have the following properties:

- Have positive area.
- With vertices at integer points.
- All vertices of the rhombi are located inside or on the border of the rectangle with vertices at points (0, 0), (
*w*, 0), (*w*,*h*), (0,*h*). In other words, for all vertices (*x*_{i},*y*_{i}) of the rhombus the following conditions should fulfill: 0 ≤*x*_{i}≤*w*and 0 ≤*y*_{i}≤*h*. - Its diagonals are parallel to the axis.

Count the number of such rhombi.

Let us remind you that a rhombus is a quadrilateral whose four sides all have the same length.

Input

The first line contains two integers *w* and *h* (1 ≤ *w*, *h* ≤ 4000) — the rectangle's sizes.

Output

Print a single number — the number of sought rhombi.

Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.

Examples

Input

2 2

Output

1

Input

1 2

Output

0

Note

In the first example there exists only one such rhombus. Its vertices are located at points (1, 0), (2, 1), (1, 2), (0, 1).

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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